Linear Functions And Their Slope Worksheet Page 8

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Vertical Shifting
 
Let
be a function, and k be a number.
f x
 
y
f x
k
When you _____ k to the ________, the graph shifts __________________.
 
y
f x
k
When you _____ k to the ________, the graph shifts __________________.
Examples:
 
 
2
f x
x
f x
x
 
 
2
Graph
Graph
g x
x
2
g x
x
3
 
 
2
h x
x
3
h x
x
5
Horizontal Shifting
 
Let
be a function, and h be a number.
f x
y
f x h
When you _____ h to the ________, the graph shifts __________________.
y
f x h
When you _____ h to the ________, the graph shifts __________________.
Examples
 
 
3
f x
x
f x
x
 
  
Graph
Graph
3
g x
x
1
g x
x
3
 
  
3
h x
x
3
h x
x
2
4
Unit 3 Page 8 of 23

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